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Is an equilateral triangle a concave polygon?
An equilateral triangle is NOT concave. The sides only push out, and they never cave in. An equilateral triangle is convex. I hope that helped all who needed.
How many 1 inch triangles are needed to make a row of triangles that has a perimeter of 20 inches?
If a "1 inch triangle" means a triangle each of whose sides is 1 inch, then there is no answer to the question. These are equilateral triangles and equilateral triangles can tesselate to form a larger equilateral triangle. The fact that the large triangle is equilateral means that its three sides are equal so that its perimeter ie the sum of the three sides must be divisible by 3. 20 is not divisible by 3.
Is it possible to construct a hexagon using only a straightedge and a compas?
Yes First construct an equilateral triangle: Draw the base side of the triangle and label the ends A and B - this will be the first side of the hexagon. Set the compass to the length of the side. With the compass on one end of the line (point A), draw an arc to one side of the line (roughly near the middle). With the compass on the other end of the line (point B), draw a second arc to intersect the first arc (call this point O) - this is the apex of the triangle. Normally when constructing the triangle side OA and OB would be drawn in, however as a hexagon is being constructed only the location of O is needed. This point O will be the centre of the hexagon. Now construct 4 further equilateral triangles: For the first use OB as the base (the actual line is not needed, just its endpoints), construct its apex C and using the straight edge join B to C. For the next, use OC as the base, construct its apex D and join C to D Then use OD, construct apex E and join D to E Finally using OE, construct apex F and join E to F. The hexagon can now be completed by joining F to A.
How do you find the missing area measurement of a triangle?
depends on the needed measurement and type of triangle.
What type of triangle is ΔDEF?
This question itself does not provide the information that is needed to be able to tell what kind of triangle it is.
